The Cauchy problem for Schrödinger flows into Kähler manifolds

Details The Cauchy problem for Schrödinger flows into Kähler manifolds The Cauchy problem for Schrödinger flows into Kähler manifolds

2009-11-16

arxiv.org/abs/0911.3141v1

Mathematics

Analysis of PDEs

Scientific paper

We prove local well-posedness of the Schr\"{o}dinger flow from $R^n$ into a
compact K\{"a}hler manifold $N$ with initial data in $H^{s+1}(R^n, N)$ for
$s\geq n/2+4$.

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